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arXiv:math/0611271 · Mathematical Proceedings of the Cambridge Philosophical Society

Completely positive quantum stochastic convolution cocycles and their dilations

Adam Skalski

Published Jul 1, 2007• 8 citations
arXivHTMLPDF

Abstract

Abstract Stochastic generators of completely positive and contractive quantum stochastic convolution cocycles on aC*-hyperbialgebra are characterised. The characterisation is used to obtain dilations and stochastic forms of Stinespring decomposition for completely positive convolution cocycles on aC*-bialgebra.
DOI
10.1017/s0305004107000278

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